Engineering Worksheet: Mechanical Advantage and Work
Engineer's tip (Less force, more distance): MA = load ÷ effort. Work (J) = force (N) × distance (m); force = work ÷ distance; distance = work ÷ force. Ideal ramp: MA = length ÷ height, effort = load ÷ MA.
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- 1.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) through a distance (d) without moving it
- 2.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 3.🏋️ A force of 200 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 4.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 5.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A force of 130 N did 650 J of work. How many metres did the object move?
- 8.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 9.🏋️ A force of 270 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 10.🏋️ A force of 80 N did 560 J of work. How many metres did the object move?
- 11.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 12.🏋️ A force of 20 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 13.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) yes, by half (d) only on Mondays
- 16.🏋️ A force of 470 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 17.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A force of 460 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 400 N did 400 J of work. How many metres did the object move?
- 20.🏋️ A 12 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ Pushing a crate 7 m took 3430 J of work. What force was used, in newtons?
- 22.🏋️ A 14 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ Pushing a crate 1 m took 90 J of work. What force was used, in newtons?
- 24.🏋️ A force of 160 N did 800 J of work. How many metres did the object move?
- 25.🏋️ Pushing a crate 5 m took 600 J of work. What force was used, in newtons?
- 26.🏋️ A force of 60 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 27.🏋️ Pushing a crate 6 m took 1680 J of work. What force was used, in newtons?
- 28.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 29.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) no effort (d) the same effort
- 30.🏋️ An 11 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A 5 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
- 33.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 40 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 290 N did 290 J of work. How many metres did the object move?
- 36.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) metre (m) (d) watt hour
- 38.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 140 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 40.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
Answer key
- through a distance
- 3
- 1600
- 6
- 800
- 450
- 5
- 2
- 1890
- 7
- 3
- 100
- 300
- 200
- no, work stays the same
- 3760
- 100
- 3220
- 1
- 240
- 490
- 420
- 90
- 5
- 120
- 240
- 280
- 4
- less effort
- 550
- 150
- 5
- 2
- 200
- 1
- 900
- joule (J)
- 5
- 140
- 2
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